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Finding the Fourth Proportional to 7,719.94, 11,578.88 and 2,173.72

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Solution

The fourth proportional to 7,719.94, 11,578.88 and 2,173.72 is: 3,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719.94 : 11,578.88 = 2,173.72 : x
  2. Step 2: Convert to fraction form
    7,719.94/11,578.88 = 2,173.72/x
  3. Step 3: Cross multiply
    7,719.94x = 11,578.88 × 2,173.72
  4. Step 4: Simplify right side
    7,719.94x = 25,169,200.78
  5. Step 5: Solve for x
    x = 25,169,200.78/7,719.94
  6. Step 6: Final answer
    x = 3,260.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.